Difference between revisions of "Ttclass/hdot.m"

Revision as of 15:13, 5 April 2026

Haramard dot product between two tensor train matrices.

c=hdot(a,b)

a,b  - tensor train objects representing numerical
          arrays of the same dimensions and having
          the same internal topology

c    - Hadamard product of a and b, a scalar

d.savostyanov@soton.ac.uk

@@ Line 1: / Line 1: @@
-Hadamard matrix product. Useful as a replacement for trace(A'*B) because trace(A'*B)=hadm(conj(A),B) and the latter only needs O(n^2) multiplications as opposed to O(n^3) for trace(A'*B). Syntax:
+{{DISPLAYTITLE:ttclass/hdot.m}} __NOTOC__
+Haramard dot product between two tensor train matrices.
+==Syntax==
-     c=hdot(a,b)
+ c=hdot(a,b)
-This function is also available for tensor train representations of matrices.
+==Arguments==
+ a,b  - tensor train objects representing numerical
+           arrays of the same dimensions and having
+           the same internal topology
+==Outputs==
+ c    - Hadamard product of a and b, a scalar
+ d.savostyanov@soton.ac.uk